470-8745/05 – Modeling of Electromagnetic Fields (MEPNT)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Dalibor Lukáš, Ph.D.Subject version guarantordoc. Ing. Dalibor Lukáš, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type B
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The course aims at teaching of mathematical models of electromagnetic fields and their solution using state-of-the-art numerical methods. At benchmarks we will demonstrate solution to electrostatics, magnetostatics, and electromagnetic scattering. In particular, we emphasize the principles of the finite element method (FEM) as well as the boundary element method (BEM), their efficient usage and a coupling of both.

Teaching methods

Project work


Topics covered: 1. Electrostatics - physics, a 2d benchmark, nodal FEM, BEM. 2. Magnetostatics - physics, a 3d benchmark, edge FEM, FEM-BEM coupling. 3. Electromagnetic scattering - physics, a 3d benchmark, FEM with an absorption layer, BEM.

Compulsory literature:

M. Křížek - Mathematical and Numerical Modelling in Electrical Engineering. Kluwer Academic Publishers 1996. J. Schoeberl - Numerical Methods for Maxwell's Equations. Lecture Notes of Kepler University in Linz, 2005.

Recommended literature:

P. Monk - Finite Element Methods for Maxwell's Equations. Oxford University Press, 2003. O. Steinbach, S. Rjasanow - The Fast Solution of Boundary Integral Equations. Springer 2007.

Way of continuous check of knowledge in the course of semester

Credit: 30 points (a project), min. 15 Exam: 70 points


Other requirements

No additional requirements are imposed on the student.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Covered topics: 1. Principles of electromagnetism - charge interations, electric current, conductor interactions, magnetism, Maxwell's equations. Analytical solutions to simple problems. 2. Electrostatics - electrostatic field of a capacitor. Numerical solutions by a finite element method (FEM) and a boundary element method (BEM). 3. Magnetostatics - magnetostatic field of an electromagnet. Numerical solutions by FEM and BEM. 4. Electromagnetic scattering - a polarized light scattered from a slot. Solution by BEM for the 3D Helmholtz equation.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  15
        Examination Examination 70  21
Mandatory attendence parzicipation: attendance not obligatory

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (N0719A270002) Nanotechnology P Czech Ostrava 2 Choice-compulsory type B study plan
2020/2021 (N0719A270002) Nanotechnology P Czech Ostrava 2 Choice-compulsory type B study plan
2019/2020 (N0719A270002) Nanotechnology P Czech Ostrava 2 Choice-compulsory type B study plan

Occurrence in special blocks

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